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Finding the Fourth Proportional to 253.31, 381.34 and 181.67

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Solution

The fourth proportional to 253.31, 381.34 and 181.67 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.31 : 381.34 = 181.67 : x
  2. Step 2: Convert to fraction form
    253.31/381.34 = 181.67/x
  3. Step 3: Cross multiply
    253.31x = 381.34 × 181.67
  4. Step 4: Simplify right side
    253.31x = 69,278.04
  5. Step 5: Solve for x
    x = 69,278.04/253.31
  6. Step 6: Final answer
    x = 273.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.